Renorming AM-spaces
Functional Analysis
2020-11-10 v1
Abstract
We prove that any separable AM-space has an equivalent lattice norm for which no non-trivial surjective lattice isometries exist. Moreover, if has no more than one atom, then this new norm may be an AM-norm. As our main tool, we introduce and investigate the class of so called Benyamini spaces, which ``approximate'' general AM-spaces.
Cite
@article{arxiv.2011.04140,
title = {Renorming AM-spaces},
author = {Timur Oikhberg and Mary Angelica Tursi},
journal= {arXiv preprint arXiv:2011.04140},
year = {2020}
}
Comments
15 pages